Water flows down in the vertical pipe shown below. Assuming inviscid flow, derive an expression for this velocity of the water V, in terms of the manometer reading h, the specific gravity of the gage fluid SG, and the acceleration of gravity g. In the diagram, we have a U-shaped tube, which is slightly unconventional. On the left, there's a wider channel labeled with downward arrows. The first arrow is marked "g," likely representing gravitational acceleration. The second arrow, labeled "V," suggests velocity. To the right of this, the U-shaped structure is shown. In the left section of the U-tube, there's a horizontal pipe connecting it to a vertical tube that starts from the top. The vertical portion of this tube is indicated with arrows pointing downward, and it is partially filled with a fluid shaded in gray. The height of the fluid within this section is marked by "h." The label "SG" is placed within the shaded gray area in the vertical section, which possibly stands for "Specific Gravity," indicating the density-related property of the fluid compared to a reference substance, typically water.This entire setup appears to be demonstrating a concept related to fluid dynamics, such as Bernoulli’s principle or hydrostatic pressure, by showing how velocity and gravity interact within the conduit system.

Answered: h SG | bartleby

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Water flows down in the vertical pipe shown below. Assuming inviscid flow, derive an expression for this velocity of the water V, in terms of the manometer reading h, the specific gravity of the gage fluid SG, and the acceleration of gravity g.

In the diagram, we have a U-shaped tube, which is slightly unconventional. On the left, there's a wider channel labeled with downward arrows. The first arrow is marked "g," likely representing gravitational acceleration. The second arrow, labeled "V," suggests velocity.

To the right of this, the U-shaped structure is shown. In the left section of the U-tube, there's a horizontal pipe connecting it to a vertical tube that starts from the top. The vertical portion of this tube is indicated with arrows pointing downward, and it is partially filled with a fluid shaded in gray. The height of the fluid within this section is marked by "h."

The label "SG" is placed within the shaded gray area in the vertical section, which possibly stands for "Specific Gravity," indicating the density-related property of the fluid compared to a reference substance, typically water.

This entire setup appears to be demonstrating a concept related to fluid dynamics, such as Bernoulli’s principle or hydrostatic pressure, by showing how velocity and gravity interact within the conduit system.

Expert Solution

Step 1: Introduction

To derive the expression for velocity for the above drawing.

Given the acceleration due to gravity is $g$

manometric deflection is $h$

velocity of water, $V$

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